| 摘要: |
| 本文介绍了一类分数阶模糊时滞神经网络模型.利用压缩映射原理,讨论了带时滞的分数阶神经网络模型解的存在性和唯一性,并根据Gronwall不等式结合分数阶微分方程的性质,证明了分数阶神经网络模型平衡点的有限时间稳定性,给出了有限时间稳定性的判断准则.最后,给出数值仿真说明了理论结果的正确性. |
| 关键词: 分数阶模糊神经网络 存在性 唯一性 有限时间稳定性 |
| DOI： |
| 分类号:O211.63 |
| 基金项目:宁夏自然科学基金资助(NZ15104);国家自然科学基金资助(11461053;11261043);宁夏高校科研项目资助(NGY20140152). |
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| EXISTENCE, UNIQUENESS AND FINITE TIME STABILITY OF FRACTIONAL ORDER FUZZY NEURAL NETWORKS WITH DELAY |
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HA Jin-cai, YANG Hong-fu, ZHANG Qi-min
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School of Mathematics and Information Science, Beifang University for Nationalities, Yinchuan 750021, China
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| Abstract: |
| In this paper, we introduce a class of fractional-order fuzzy neutral network system. According to Gronwall inequality, contraction mapping principle and the properties of fractional diffierential equation, the existence, uniqueness and finite time stability of fractional-order fuzzy neural networks with delay are researched. Finally, the numerical simulation is studied to illustrate the theory. |
| Key words: fractional-order fuzzy neutral network existence uniqueness finite time stability |
